Editing Polytope (section)

==Applications==
In the field of [[Optimization (mathematics)|optimization]], [[linear programming]] studies the [[maxima and minima]] of [[linear]] functions; these maxima and minima occur on the [[boundary (topology)|boundary]] of an ''n''-dimensional polytope. In linear programming, polytopes occur in the use of [[generalized barycentric coordinates]] and [[slack variable]]s.

In  [[twistor theory]], a branch of [[theoretical physics]], a polytope called the [[amplituhedron]] is used in to calculate the scattering amplitudes of subatomic particles when they collide. The construct is purely theoretical with no known physical manifestation, but is said to greatly simplify certain calculations.<ref>{{cite journal|last1=Arkani-Hamed |first1=Nima |last2=Trnka |first2=Jaroslav |year=2013 |arxiv=1312.2007 |title=The Amplituhedron |doi=10.1007/JHEP10(2014)030 |volume=2014 |journal=Journal of High Energy Physics|issue=10 |page=30 |bibcode=2014JHEP...10..030A }}</ref>